4.10 Inverse Trigonometric Functions: Quiz
Problem 4
Evaluate cos(arccos(arcsin(sin(tan(arctan(5)))))).
Answers, problem 4
First, tan(arctan(5)) = 5. Then, sin(5) = −0.959 to three decimal places, and arcin(−0.959) = −1.283. Finally, this is in the domain of arccos, so cos(arccos(−1.283)) = −1.283.